Find The Roots (Zeros) G(x)=5x-12x^2+3 | Mathway

Enter a problem... Algebra Examples Popular Problems Algebra Find the Roots (Zeros) g(x)=5x-12x^2+3 Step 1Set equal to .Step 2Solve for .Tap for more steps...Step 2.1Factor the left side of the equation.Tap for more steps...Step 2.1.1Let . Substitute for all occurrences of .Step 2.1.2Factor by grouping.Tap for more steps...Step 2.1.2.1Reorder terms.Step 2.1.2.2For a polynomial of the form , rewrite the middle term as a sum of two terms whose product is and whose sum is .Tap for more steps...Step 2.1.2.2.1Factor out of .Step 2.1.2.2.2Rewrite as plus Step 2.1.2.2.3Apply the distributive property.Step 2.1.2.3Factor out the greatest common factor from each group.Tap for more steps...Step 2.1.2.3.1Group the first two terms and the last two terms.Step 2.1.2.3.2Factor out the greatest common factor (GCF) from each group.Step 2.1.2.4Factor the polynomial by factoring out the greatest common factor, .Step 2.1.3Replace all occurrences of with .Step 2.2If any individual factor on the left side of the equation is equal to , the entire expression will be equal to .Step 2.3Set equal to and solve for .Tap for more steps...Step 2.3.1Set equal to .Step 2.3.2Solve for .Tap for more steps...Step 2.3.2.1Add to both sides of the equation.Step 2.3.2.2Divide each term in by and simplify.Tap for more steps...Step 2.3.2.2.1Divide each term in by .Step 2.3.2.2.2Simplify the left side.Tap for more steps...Step 2.3.2.2.2.1Cancel the common factor of .Tap for more steps...Step 2.3.2.2.2.1.1Cancel the common factor.Step 2.3.2.2.2.1.2Divide by .Step 2.3.2.2.3Simplify the right side.Tap for more steps...Step 2.3.2.2.3.1Move the negative in front of the fraction.Step 2.4Set equal to and solve for .Tap for more steps...Step 2.4.1Set equal to .Step 2.4.2Solve for .Tap for more steps...Step 2.4.2.1Add to both sides of the equation.Step 2.4.2.2Divide each term in by and simplify.Tap for more steps...Step 2.4.2.2.1Divide each term in by .Step 2.4.2.2.2Simplify the left side.Tap for more steps...Step 2.4.2.2.2.1Cancel the common factor of .Tap for more steps...Step 2.4.2.2.2.1.1Cancel the common factor.Step 2.4.2.2.2.1.2Divide by .Step 2.5The final solution is all the values that make true.Step 3

Please ensure that your password is at least 8 characters and contains each of the following:

• a number
• a letter
• a special character: @$#!%*?&